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-BARSIC- [3]
4 years ago
9

A science experiment involves periodically measuring the number of mold cells present on a piece of bread. At the start of the e

xperiment, There are 50 mold cells. Each time a periodic observation is made, the number of mold cells triples. For example, observation #1, there are 150 mold cells.​

Mathematics
1 answer:
fomenos4 years ago
3 0

Answer:

  • y = 50·3^x
  • (2, 450), (3, 1350), (4, 4050), (5, 12150)

Step-by-step explanation:

The problem statement tells you each observed count is 3 times the last one.

__

Expressed as an exponential function with an initial value of 50 and a growth factor of 3, the formula is ...

  y = (initial value)×(growth factor)^x

  y = 50·3^x

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Which is the factorization of 8x2 13x – 6? (8x – 3)(x 2) (x – 6)(8x 1) (2x – 2)(4x 3) (4x – 1)(2x 6)
vagabundo [1.1K]

we have

8x^2+13x - 6

Equate the function to zero

8x^2+13x - 6=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

8x^2+13x = 6

Factor the leading coefficient

8(x^2+\frac{13}{8}x) = 6

Complete the square. Remember to balance the equation by adding the same constants to each side.

8(x^2+\frac{13}{8}x) = 6

8(x^2+\frac{13}{8}x+\frac{169}{256}) = 6 +\frac{169}{32} \\ \\ 8(x+\frac{13}{16} )^{2} =\frac{361}{32} \\ \\ (x+\frac{13}{16} )^{2} =\frac{361}{256}\\ \\ (x+\frac{13}{16} ) =(+/-)\sqrt{\frac{361}{256}} \\ \\ (x+\frac{13}{16} ) =(+/-)\frac{19}{16}  \\ \\ x1=-\frac{13}{16} +\frac{19}{16} =\frac{6}{16}\\ \\ x2=-\frac{13}{16} -\frac{19}{16}=-2

the factorization is equal to

8*(x-\frac{6}{16} )*(x+2)=(8x-3)*(x+2)

therefore

<u>the answer is</u>

(8x-3)*(x+2)




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